Grade 7 Circles Quiz

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3. What does it mean to "square" a number?

To multiply a number by itself.

To add a number to itself.

To divide a number by itself.

To subtract a number from itself.

"Squaring" a number means multiplying the number by itself. This is done by taking the number and multiplying it by itself, resulting in the square of that number. For example, squaring the number 2 would be 2 multiplied by 2, which equals 4. Squaring a number is a mathematical operation used to find the area of a square, calculate the square of a side length, or solve quadratic equations, among other applications.

Explanation

"Squaring" a number means multiplying the number by itself. This is done by taking the number and multiplying it by itself, resulting in the square of that number. For example, squaring the number 2 would be 2 multiplied by 2, which equals 4. Squaring a number is a mathematical operation used to find the area of a square, calculate the square of a side length, or solve quadratic equations, among other applications.

4. The ____ is the distance from the center of a circle to the circle's edge.

The radius is the distance from the center of a circle to the circle's edge. It is a fundamental measurement in geometry and is always the same length regardless of the size of the circle. The radius is often used in calculations involving the circumference, area, and diameter of a circle.

Explanation

The radius is the distance from the center of a circle to the circle's edge. It is a fundamental measurement in geometry and is always the same length regardless of the size of the circle. The radius is often used in calculations involving the circumference, area, and diameter of a circle.

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5. A ____ is a chord that passes through the center of a circle.

A diameter is a chord that passes through the center of a circle. It is the longest chord in a circle and divides the circle into two equal halves. The term "diameter" is used to describe this specific type of chord that has this unique property of passing through the center of the circle. The word "diameter" can be written in lowercase or uppercase, as it refers to the same concept.

Explanation

A diameter is a chord that passes through the center of a circle. It is the longest chord in a circle and divides the circle into two equal halves. The term "diameter" is used to describe this specific type of chord that has this unique property of passing through the center of the circle. The word "diameter" can be written in lowercase or uppercase, as it refers to the same concept.

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7. The _____________ of a shape is the number of square units that fit inside a shape

Diameter

Area

Chord

Radius

Circumference

Perimeter

Chord

The area of a shape refers to the number of square units that fit inside the shape. It is a measure of the size of the shape's surface and is typically expressed in square units such as square inches, square feet, or square meters. The area can be calculated for various shapes, including rectangles, triangles, circles, and more, by using specific formulas or methods depending on the shape.

Explanation

The area of a shape refers to the number of square units that fit inside the shape. It is a measure of the size of the shape's surface and is typically expressed in square units such as square inches, square feet, or square meters. The area can be calculated for various shapes, including rectangles, triangles, circles, and more, by using specific formulas or methods depending on the shape.

8. What is $\pi$ ?Select all that apply.

A number that begins with 3.14.

The radius of a circle squared.

The diameter multiplied by the circumference of a circle.

The circumference divided by the diameter of a circle.

The correct answers are "A number that begins with 3.14." and "The circumference divided by the diameter of a circle." The first option refers to the mathematical constant pi (π), which is approximately equal to 3.14. The second option represents the formula for finding the value of pi, where the circumference of a circle is divided by its diameter.

Explanation

The correct answers are "A number that begins with 3.14." and "The circumference divided by the diameter of a circle." The first option refers to the mathematical constant pi (π), which is approximately equal to 3.14. The second option represents the formula for finding the value of pi, where the circumference of a circle is divided by its diameter.

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9. What is the area of a circle with a circumference of $12\pi$ ?

$36\pi$

6

$6\pi$

36

$16\pi$

If the circumference is 12pi, then the diameter is 12. The radius is 6. Area is pi times the radius squared. THe radius squared is 36. The answer is 36pi.

Explanation

If the circumference is 12pi, then the diameter is 12. The radius is 6. Area is pi times the radius squared. THe radius squared is 36. The answer is 36pi.